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Finding the Third Proportional to 48.75 and 72.75

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Solution

The third proportional to 48.75 and 72.75 is: 108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 72.75 = 72.75 : x
  2. Step 2: Convert to fraction form
    48.75/72.75 = 72.75/x
  3. Step 3: Cross multiply
    48.75x = 72.75 × 72.75
  4. Step 4: Simplify right side
    48.75x = 5,292.56
  5. Step 5: Solve for x
    x = 5,292.56/48.75
  6. Step 6: Final answer
    x = 108.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.